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Finding the Fourth Proportional to 214,645.60, 321,709.20 and 109,410.40

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Solution

The fourth proportional to 214,645.60, 321,709.20 and 109,410.40 is: 163,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,645.60 : 321,709.20 = 109,410.40 : x
  2. Step 2: Convert to fraction form
    214,645.60/321,709.20 = 109,410.40/x
  3. Step 3: Cross multiply
    214,645.60x = 321,709.20 × 109,410.40
  4. Step 4: Simplify right side
    214,645.60x = 35,198,332,255.68
  5. Step 5: Solve for x
    x = 35,198,332,255.68/214,645.60
  6. Step 6: Final answer
    x = 163,983.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.